6 13 The line segment BC is part of triangle ABC a Use a ruler and pair of

# 6 13 the line segment bc is part of triangle abc a

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13) The line segment BC is part of triangle ABC. a) Use a ruler and pair of compass to complete the triangle in which angle ABC = 45 0 , AC = 5.6cm and angle BAC is obtuse. (3 marks) b) Draw the locus of a point P such that P is equidistant from a point O and passes through the vertices of triangle ABC. (3 marks) c) Locate a point D on the locus of lines ?BC and BO. Q lies in the region enclosed by lines BD, BO extended and the locus of P. Shade the locus of Q. (4 marks) 14) The diagram below shows a garden drawn to a scale of 1:400. in the garden there are already two trees marked A and B. the gardener wishes to plant more trees according to a number of rules he wishes to apply. Rule 1: Each new tree must be equidistant from both trees A and B Rule 2: Each new tree must be at least 4m from the edges of the garden. Rule 3: Each new tree is at least 14m from B. a) Draw the locus defined by each of these rules (7 marks) b) If the new trees are to be planted 4m apart, show on the diagram the planting points for the new trees. (3 marks) 7
• Fall '18
• ANYANZWA

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